The velocities of ultrasonic shear and compressional waves in tungsten crystals have been measured in several directions and as functions of temperature to 1800°C. Adiabatic crystal elastic stiffnesses have been calculated from these velocities as follows: C11=5.2349×1012−4.5967×108T−5.467×104T2±0.25% dyn·cm−2C44=1.6028×1012−1.0320×108T−2.054×104T2±0.25% dyn·cm−2CN=5.2480×1012−3.5005×108T−3.163×104T2±0.25% dyn·cm−2C12=2.0445×1012−0.3403×108T+3.249×104T2±2.3% dyn·cm−2C′=1.5952×102 −2.1282×108T−4.358×104T2±1.8% dyn·cm−2. Values for the elastic constants of random, polycrystalline tungsten were calculated from these crystal stiffnesses. They agree well with values determined on polycrystalline tungsten as functions of temperature.

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The velocities of ultrasonic shear and compressional waves in polycrystalline tungsten (99.4% dense) have been measured by a pulse-echo technique from 24° to 1800°C. Adiabatic elastic constants have been calculated from these velocities with accuracies of ±0.25% to ±0.65%, and corrections have been applied to obtain the following equations for the elastic constants of fully dense tungsten vs temperature (°C): G=1.5893×1012−1.4733×108T−2.448×104T2 dyn−cm−2,L=5.2415×1012−3.7399×108T−4.598×104T2 dyn−cm−2,K=3.1224×1012−1.7755×108T−1.333×104T2 dyn−cm−2,E=4.0761×1012−3.5521×108T−5.871×104T2 dyn−cm−2,v=0.28247+6.1902×10−6T+3.162×10−9T2.

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